Homework # 1 - SOLUTION

AUB-FEA-CEE

CIVE210 ? Statics

Homework # 1 - SOLUTION

CIVE210 ? STATICS

HW1 - SOLUTION

Topics: Textbook:

Problems: Chapter 2:

Vectors and Forces (Chapter 2)

Engineering Mechanics, by R.C. Hibbeler Pearson, 12th Edition

Problems 2-4, 2-6, 2-15, 2-20, 2-24 (Use Parallelogram Law only) Problems 2-32, 2-44, 2-53 (Use 2-D Cartesian Vector Notation) Problems 2-68, 2-77, 2-87, 2-104, 2-112, 2-121 (Use 3-D Cartesian Vector Notation and Dot Product)

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?4. Determine the magnitude of the resultant force acting on the bracket and its direction measured counterclockwise from the positive u axis.

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?6. Resolve F2 into components along the u and axes, and determine the magnitudes of these components.

.

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?15. Determine the design angle between struts AB and AC so that the 400-lb horizontal force has a

component of 600 lb which acts up to the left, in the same direction as from B towards A. Take =

30?.

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?20. If = 45?, F1 = 5 kN, and the resultant force is 6 kN directed along the positive y axis, determine the required magnitude of F2 and its direction .

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?24. If the resultant force FR is directed along a line measured 75? clockwise from the positive x

axis and the magnitude of F2 is to be a minimum, determine the magnitudes of FR and F2 and the angle

90?.

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?32. Determine the magnitude of the resultant force acting on the pin and its direction measured clockwise from the positive x axis.

AUB-FEA-CEE

CIVE210 ? Statics

HW1 - SOLUTION

2?44. If the magnitude of the resultant force acting on the bracket is 400 lb directed along the

positive x axis, determine the magnitude of F1 and its direction .

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